Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 4311 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_1M_3$ + $ M_3M_5$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_4M_7$ + $ M_8q_1\tilde{q}_2$ | 0.7115 | 0.8827 | 0.806 | [X:[], M:[0.9681, 0.9043, 1.0319, 1.0957, 0.9681, 0.9681, 0.9043, 0.8405], q:[0.6116, 0.4203], qb:[0.4841, 0.5478], phi:[0.4841]] | [X:[], M:[[-2], [-6], [2], [6], [-2], [-2], [-6], [-10]], q:[[7], [-5]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_2$, $ M_7$, $ M_1$, $ M_5$, $ M_6$, $ \phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_8^2$, $ \phi_1q_1^2$, $ M_2M_8$, $ M_7M_8$, $ M_2^2$, $ M_2M_7$, $ M_7^2$, $ M_1M_8$, $ M_5M_8$, $ M_6M_8$, $ M_8\phi_1^2$, $ M_1M_2$, $ M_2M_5$, $ M_2M_6$, $ M_1M_7$, $ M_5M_7$, $ M_6M_7$, $ M_2\phi_1^2$, $ M_7\phi_1^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_6$, $ M_5M_6$, $ M_6^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$ | . | -4 | t^2.52 + 2*t^2.71 + 4*t^2.9 + t^3.97 + t^4.17 + 2*t^4.36 + 2*t^4.55 + 2*t^4.74 + t^4.93 + t^5.04 + t^5.12 + 2*t^5.23 + 6*t^5.43 + 6*t^5.62 + 7*t^5.81 - 4*t^6. - 4*t^6.19 - 2*t^6.38 + t^6.5 - t^6.57 + 3*t^6.69 + 7*t^6.88 + 6*t^7.07 + 8*t^7.26 + 5*t^7.45 + t^7.56 + 3*t^7.64 + 2*t^7.76 - t^7.83 + 7*t^7.95 + 9*t^8.14 - 2*t^8.22 + 14*t^8.33 + 7*t^8.52 + 3*t^8.71 - 18*t^8.9 - t^4.45/y - t^6.97/y - t^7.17/y - (3*t^7.36)/y + (3*t^7.55)/y + t^7.74/y + t^7.93/y + (2*t^8.23)/y + (5*t^8.43)/y + (8*t^8.62)/y + (6*t^8.81)/y - t^4.45*y - t^6.97*y - t^7.17*y - 3*t^7.36*y + 3*t^7.55*y + t^7.74*y + t^7.93*y + 2*t^8.23*y + 5*t^8.43*y + 8*t^8.62*y + 6*t^8.81*y | t^2.52/g1^10 + (2*t^2.71)/g1^6 + (4*t^2.9)/g1^2 + t^3.97/g1^11 + t^4.17/g1^7 + (2*t^4.36)/g1^3 + 2*g1*t^4.55 + 2*g1^5*t^4.74 + g1^9*t^4.93 + t^5.04/g1^20 + g1^13*t^5.12 + (2*t^5.23)/g1^16 + (6*t^5.43)/g1^12 + (6*t^5.62)/g1^8 + (7*t^5.81)/g1^4 - 4*t^6. - 4*g1^4*t^6.19 - 2*g1^8*t^6.38 + t^6.5/g1^21 - g1^12*t^6.57 + (3*t^6.69)/g1^17 + (7*t^6.88)/g1^13 + (6*t^7.07)/g1^9 + (8*t^7.26)/g1^5 + (5*t^7.45)/g1 + t^7.56/g1^30 + 3*g1^3*t^7.64 + (2*t^7.76)/g1^26 - g1^7*t^7.83 + (7*t^7.95)/g1^22 + (9*t^8.14)/g1^18 - 2*g1^15*t^8.22 + (14*t^8.33)/g1^14 + (7*t^8.52)/g1^10 + (3*t^8.71)/g1^6 - (18*t^8.9)/g1^2 - t^4.45/(g1*y) - t^6.97/(g1^11*y) - t^7.17/(g1^7*y) - (3*t^7.36)/(g1^3*y) + (3*g1*t^7.55)/y + (g1^5*t^7.74)/y + (g1^9*t^7.93)/y + (2*t^8.23)/(g1^16*y) + (5*t^8.43)/(g1^12*y) + (8*t^8.62)/(g1^8*y) + (6*t^8.81)/(g1^4*y) - (t^4.45*y)/g1 - (t^6.97*y)/g1^11 - (t^7.17*y)/g1^7 - (3*t^7.36*y)/g1^3 + 3*g1*t^7.55*y + g1^5*t^7.74*y + g1^9*t^7.93*y + (2*t^8.23*y)/g1^16 + (5*t^8.43*y)/g1^12 + (8*t^8.62*y)/g1^8 + (6*t^8.81*y)/g1^4 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 5763 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_1M_3$ + $ M_3M_5$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_4M_7$ + $ M_8q_1\tilde{q}_2$ + $ M_9\phi_1q_2^2$ | 0.7323 | 0.9237 | 0.7928 | [X:[], M:[0.9686, 0.9057, 1.0314, 1.0943, 0.9686, 0.9686, 0.9057, 0.8429, 0.6729], q:[0.61, 0.4214], qb:[0.4843, 0.5471], phi:[0.4843]] | t^2.02 + t^2.53 + 2*t^2.72 + 4*t^2.91 + t^4.04 + t^4.17 + 2*t^4.36 + 3*t^4.55 + 4*t^4.74 + 5*t^4.92 + t^5.06 + t^5.11 + 2*t^5.25 + 6*t^5.43 + 6*t^5.62 + 7*t^5.81 - 4*t^6. - t^4.45/y - t^4.45*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 2318 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_1M_3$ + $ M_3M_5$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_4M_7$ | 0.6995 | 0.8591 | 0.8142 | [X:[], M:[0.9785, 0.9356, 1.0215, 1.0644, 0.9785, 0.9785, 0.9356], q:[0.5751, 0.4464], qb:[0.4893, 0.5322], phi:[0.4893]] | 2*t^2.81 + 4*t^2.94 + t^3.32 + t^4.15 + t^4.27 + 2*t^4.4 + 2*t^4.53 + 2*t^4.66 + t^4.79 + t^4.92 + 2*t^5.61 + 6*t^5.74 + 7*t^5.87 - 4*t^6. - t^4.47/y - t^4.47*y | detail |